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Finding the Third Proportional to 591,488,352 and 1,318,978,512

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Solution

The third proportional to 591,488,352 and 1,318,978,512 is: 2,941,231,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,488,352 : 1,318,978,512 = 1,318,978,512 : x
  2. Step 2: Convert to fraction form
    591,488,352/1,318,978,512 = 1,318,978,512/x
  3. Step 3: Cross multiply
    591,488,352x = 1,318,978,512 × 1,318,978,512
  4. Step 4: Simplify right side
    591,488,352x = 1,739,704,315,117,734,144
  5. Step 5: Solve for x
    x = 1,739,704,315,117,734,144/591,488,352
  6. Step 6: Final answer
    x = 2,941,231,740.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.